curve #1103

y² + xy = x³ + 22560435880391339052664320x + 540479833226131711454100721381679986752

a-invariants: [1, 0, 0, 22560435880391339052664320, 540479833226131711454100721381679986752]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/12ℤ
conductor (N): 10323681937345590
discriminant (Δ): -126930060614113361920640704829437144175823775583585095410250247955322265625000000
Faltings height: 14.0499
naive height: 191.8942
primes of bad reduction: 2, 3, 5, 11, 23, 31, 37, 53, 59, 89, 4261
regulator: 19074.262790994441541096017159376279081291761
submitted by: dujella
submitted at: 2026-09-23 19:46:44 UTC
last updated: 2026-09-23 19:46:44 UTC

(27661635621054/25, 2975936714042472539982/125)
(-30480638069423246996886/10538870281, -22977209079062848462558645281998988/1081909884177179)
(2342634032664396968144502/246441752041, 4914829306144468018253376552120162012/122340832523961589)

found by Dujella (2005)

last edited by dujella at 2026-09-23 19:46:44 UTC · history